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(dy)/(dx)=y tan x , y=1 when x=0...

`(dy)/(dx)=y tan x` , y=1 when x=0

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For each of the following differential equations, find a particular solution satisfying the given conditions. (dy)/(dx) + 2y tan x = sin x , y = 0 when x = pi/3

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V PUBLICATION-DIFFERENTIAL EQUATIONS-QUESTION BANK
  1. For the following differential equation find a particular solution sat...

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  2. cos ((dy)/(dx))=a, (a in R) , y=1, when x=0

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  3. (dy)/(dx)=y tan x , y=1 when x=0

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  4. Find the equation of a curve passing through (0,0) and whose different...

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  5. For the DE xydy/dx=(x+2)(y+2),find the solution curve passing throug...

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  6. Find the equation of a curve passing through the point (2,-2) given th...

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  7. At any point (x,y) of a curve, the slope of the tangent is twice the s...

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  8. The volume of spherical ballon being inflated at a constant rate. If i...

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  9. In a bank, principal increases continuosly at the rate of r% per year....

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  10. In a bank, principal increases continuosly at the rate of 5% per year....

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  11. In a culture , the bacteria count is 1,00,000. The number is increased...

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  12. The general solution of the differential equation (dy)/(dx)=e^(x+y) is

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  13. Show that the differential equation x cos(y/x)(dy)/(dx) = y cos(y/x) +...

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  14. solve the differential equation (x^2+x y) d y=(x^2+y^2) d x

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  15. Show that the following equations are homogeneous and solve each of th...

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  16. Show that the following equations are homogeneous and solve each of th...

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  17. solve the differential equation (x^2-y^2) d x+2 x y d y=0

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  18. solve x^2 (dy)/(dx)=x^2-2 y^2+x y

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  19. Consider the DE xdy-ydx=sqrt(x^2+y^2)dx Find the general solution.

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  20. {x cos (y/x)+y sin (y/x)} y d x={y sin (y/x)-(x) cos (y/x)} x d y

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